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Simplifying 3p + -9 = 0.33(9p + -27) Reorder the terms: -9 + 3p = 0.33(9p + -27) Reorder the terms: -9 + 3p = 0.33(-27 + 9p) -9 + 3p = (-27 * 0.33 + 9p * 0.33) -9 + 3p = (-8.91 + 2.97p) Solving -9 + 3p = -8.91 + 2.97p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.97p' to each side of the equation. -9 + 3p + -2.97p = -8.91 + 2.97p + -2.97p Combine like terms: 3p + -2.97p = 0.03p -9 + 0.03p = -8.91 + 2.97p + -2.97p Combine like terms: 2.97p + -2.97p = 0.00 -9 + 0.03p = -8.91 + 0.00 -9 + 0.03p = -8.91 Add '9' to each side of the equation. -9 + 9 + 0.03p = -8.91 + 9 Combine like terms: -9 + 9 = 0 0 + 0.03p = -8.91 + 9 0.03p = -8.91 + 9 Combine like terms: -8.91 + 9 = 0.09 0.03p = 0.09 Divide each side by '0.03'. p = 3 Simplifying p = 3
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